Question

Evaluate:
$( \frac{1}{4})^{ - 2} - 3(8)^{ \frac{2}{3} } \times 4^{0} + ( \frac{9}{16} ) ^{ \frac{ - 1}{2} }$
Answer(in the book):
$5 \times \frac{1}{3}$
Note:
The first picture is my answer, please tell where I went wrong. ​

Answer 1

$( \frac{1}{4})^{ - 2} - 3(8)^{ \frac{2}{3} } \times 4^{0} + ( \frac{9}{16} ) ^{ \frac{ - 1}{2} }$

${(4)}^{2} - 3 {(8)}^{ \frac{2}{3} } \times 1 + { (\frac{16}{9}) }^{ \frac{1}{2} }$

$16 - 3 {(2)}^{3 \times (\frac{2}{3})} \times 1 +{( \frac{4}{3} )}^{2\times (\frac{1}{2})}$

$16 - 3 \times 4 \times 1 + \frac{4}{3}$

$16 - 12 + \frac{4}{3}$

$16 - \frac{12}{1} + \frac{4}{3}$

$16 - (\frac{36 + 4}{3})$

$\frac{16}{1} - \frac{32}{3}$

$\frac{48 - 32}{3}$

$\frac{16}{3}$